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243421301440 = 2654195473319
BaseRepresentation
bin1110001010110100001…
…0100100101011000000
3212021022110010100021001
43202231002210223000
512442011323121230
6303454243141344
723405130631402
oct3425502445300
9767273110231
10243421301440
1194263a84699
123b215374854
1319c54145155
14bad2c02b72
1564ea4c00ca
hex38ad0a4ac0

243421301440 has 112 divisors (see below), whose sum is σ = 582267974400. Its totient is φ = 96929344512.

The previous prime is 243421301437. The next prime is 243421301483. The reversal of 243421301440 is 44103124342.

It is a junction number, because it is equal to n+sod(n) for n = 243421301399 and 243421301408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73340101 + ... + 73343419.

It is an arithmetic number, because the mean of its divisors is an integer number (5198821200).

Almost surely, 2243421301440 is an apocalyptic number.

243421301440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243421301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291133987200).

243421301440 is an abundant number, since it is smaller than the sum of its proper divisors (338846672960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

243421301440 is a wasteful number, since it uses less digits than its factorization.

243421301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4302 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 243421301440 its reverse (44103124342), we get a palindrome (287524425782).

The spelling of 243421301440 in words is "two hundred forty-three billion, four hundred twenty-one million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 419 547 838 1094 1676 2095 2188 2735 3319 3352 4190 4376 5470 6638 6704 8380 8752 10940 13276 13408 16595 16760 17504 21880 26552 26816 33190 33520 35008 43760 53104 66380 67040 87520 106208 132760 134080 175040 212416 229193 265520 458386 531040 916772 1062080 1145965 1390661 1815493 1833544 2291930 2781322 3630986 3667088 4583860 5562644 6953305 7261972 7334176 9077465 9167720 11125288 13906610 14523944 14668352 18154930 18335440 22250576 27813220 29047888 36309860 36670880 44501152 55626440 58095776 72619720 73341760 89002304 111252880 116191552 145239440 222505760 290478880 445011520 580957760 760691567 1521383134 3042766268 3803457835 6085532536 7606915670 12171065072 15213831340 24342130144 30427662680 48684260288 60855325360 121710650720 243421301440